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Simplifying 20v2 + 17vt + -63t2 = 0 Reorder the terms: 17tv + -63t2 + 20v2 = 0 Solving 17tv + -63t2 + 20v2 = 0 Solving for variable 't'. Factor a trinomial. (-9t + -4v)(7t + -5v) = 0Subproblem 1
Set the factor '(-9t + -4v)' equal to zero and attempt to solve: Simplifying -9t + -4v = 0 Solving -9t + -4v = 0 Move all terms containing t to the left, all other terms to the right. Add '4v' to each side of the equation. -9t + -4v + 4v = 0 + 4v Combine like terms: -4v + 4v = 0 -9t + 0 = 0 + 4v -9t = 0 + 4v Remove the zero: -9t = 4v Divide each side by '-9'. t = -0.4444444444v Simplifying t = -0.4444444444vSubproblem 2
Set the factor '(7t + -5v)' equal to zero and attempt to solve: Simplifying 7t + -5v = 0 Solving 7t + -5v = 0 Move all terms containing t to the left, all other terms to the right. Add '5v' to each side of the equation. 7t + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 7t + 0 = 0 + 5v 7t = 0 + 5v Remove the zero: 7t = 5v Divide each side by '7'. t = 0.7142857143v Simplifying t = 0.7142857143vSolution
t = {-0.4444444444v, 0.7142857143v}
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